Math  /  Algebra

Question24. Question from 1.12: Modeling Variation
The power PP that can be obtained from a windmill is directly proportional to the cube of the wind speed ss. (a) Write an equation that expresses this variation. (Use kk for the constant of proportionality.) \square (b) Find the constant of proportionality for a windmill that produces 128 watts of power when the wind is blowing at 20mi/h20 \mathrm{mi} / \mathrm{h}. k=k= \square (c) Hoyv much power will this windmill produce if the wind speed increases to 30mi/h30 \mathrm{mi} / \mathrm{h} ? \square watts

Studdy Solution
(a) P=ks3 P = k \cdot s^3 (b) k=0.016 k = 0.016 (c) 432 watts

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